Ualbai Utmakhanbetovich Umirbaev

DOI10.1070/RM9985zbMath1471.01037MaRDI QIDQ5005197

Vyacheslav A. Artamonov, N. S. Romanovskii, Vladimir N. Remeslennikov, Alexander A. Mikhalev, Vesselin Drensky, Mikhail V. Zaicev, Tynysbek Sh. Kal'menov, Leonid G. Makar-Limanov, Ivan Pavlovic Shestakov, Yuri L. Ershov, Efim I. Zelmanov, Vitaliĭ Roman'kov, Alexander V. Mikhalev

Publication date: 4 August 2021

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70)

Cites Work

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• The Freiheitssatz for Poisson algebras
• The occurrence problem for Lie algebras
• Algorithmic problems in associative algebras
• Free Akivis algebras, primitive elements, and hyperalgebras
• Schreier varieties of algebras
• Occurrence problem for free solvable groups
• Defining relations for automorphism groups of free algebras
• Free braided nonassociative Hopf algebras and Sabinin \(\tau\)-algebras
• Automorphisms and derivations of free Poisson algebras in two variables
• Free Poisson fields and their automorphisms
• Centralizers in free Poisson algebras
• Defining relations of the tame automorphism group of polynomial algebras in three variables
• The Anick automorphism of free associative algebras
• Poisson brackets and two-generated subalgebras of rings of polynomials
• The tame and the wild automorphisms of polynomial rings in three variables
• Generalized analytic functions
• Symmetrization in the geometric theory of functions of a complex variable
• Automorphic orbits in free non-associative algebras